Quadratic Equations (10 Maths)
Quadratic equations are polynomial equations of degree 2 and have numerous applications in physics and engineering. Solving them involves factorization, co
TL;DR: Quadratic equations are polynomial equations of degree 2 and have numerous applications in physics and engineering. Solving them involves factorizatio…
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Quadratic equations are polynomial equations of degree 2 and have numerous applications in physics and engineering. Solving them involves factorization, co
Quadratic Equations MCQs with Answers & Explanations
Q1. The quadratic equation 2x^2 - 8x + 6 = 0 has roots:
- 1, 3 ✓ (correct)
- 2, 3
- -1, -3
- 1, -3
Q2. The discriminant of x^2 - 5x + 6 = 0 is:
- 1
- 25
- -24
- 24 ✓ (correct)
Q3. If the discriminant of a quadratic equation is negative, then the roots are:
- Real and equal
- Real and distinct
- Complex and conjugates ✓ (correct)
- No roots exist
Q4. The sum of roots of 3x^2 + 5x - 2 = 0 is:
- -5/3 ✓ (correct)
- 5/3
- 2/3
- -2/3
Q5. The product of roots of x^2 - 7x + 12 = 0 is:
- 7
- -7
- 12 ✓ (correct)
- -12
Q6. The quadratic equation with roots 2 and -3 is:
- x^2 + x - 6 = 0 ✓ (correct)
- x^2 - x + 6 = 0
- x^2 - x - 6 = 0
- x^2 + x + 6 = 0
Q7. A quadratic equation has equal roots when its discriminant is:
- Positive
- Negative
- Zero ✓ (correct)
- Undefined
Q8. The value of k for which x^2 - 4x + k = 0 has equal roots is:
- 2
- 4 ✓ (correct)
- 8
- 16
Q9. The nature of roots of x^2 + x + 1 = 0 is:
- Real and distinct
- Real and equal
- Complex conjugates ✓ (correct)
- Real and unequal
Q10. If the roots of ax^2 + bx + c = 0 are p and q, then the equation with roots 1/p and 1/q is:
- ax^2 + bx + c = 0
- cx^2 + bx + a = 0 ✓ (correct)
- bx^2 + ax + c = 0
- c + bx + ax^2 = 0
Frequently Asked Questions
What is the quadratic formula and when is it used?
The quadratic formula is x = (-b ± sqrt(b^2 - 4ac)) / 2a and is used when factorization is difficult or impossible.
How does the discriminant help determine the nature of roots?
The discriminant b^2 - 4ac determines if roots are real and distinct, real and equal, or complex conjugates.
More 10 Maths MCQs
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